生物信息学是当前生命科学中非常重要而且活跃的分支之一，它也是生命科学、数学、物理学、计算机科学、统计学多学科交叉的前沿研究领域。分形及相关方法是非线性科学中重要的方法。分形和统计方法在生物信息问题中已广为应用。本项目重点研究分形及相关方法在生物信息学中的分子进化、蛋白质折叠、蛋白质结构与功能预测等热点问题中的应用。我们的研究内容包括：发展围绕分子进化研究的几种与分形及统计相关的距离方法，并应用到与进化有关的DNA条码问题；发展出一些用于蛋白质数据的好的数值序列表示与网络表示方法；综合应用分形、混沌动力学、小波 、基于经验的模式分解、递归定量分析、统计等方法来分析这些数值序列表示和网络表示；解读生物分子数据中蕴涵的基于基因组数据的生物进化信息、蛋白质结构和功能预测有关的信息；将我们发展出来的分析方法编制成软件供研究人员使用。

Bioinformatics is one of the important and active branch of biology, and also a multidisciplinary research field of biology, mathematics, physics, computer science and statistics. Fractal and related methods are important methods in nonlinear science. Fractal and statistical methods have been widely used in bioinformatics. This project focuses on the application of fractal and related method to the problems of molecular evolution, protein folding, prediction of protein structures and functions in bioinformatics. The research contents of our project include: developing some distance methods for phylogenetic analysis based on the fractal and related methods, and use them to the DNA barcoding problem; developing some efficient numerical representations and network representations for protein data; using the methods of fractals, chaotic dynamics, wavelets, empirical mode decomposition, recurrence quantification analysis and statistics to analyze these representations; getting the information related to evolution and the protein structure and function contained in these biological data; developing some sorts of software based on our methods for researchers in bioinformatics.